Introduction to Data Interpretation

Introduction to Data Interpretation

Direction: Study the following histogram of marks in mathematics (out of 50) of students in a class and answer the following questions.

1. If the students have got the marks out of 50 and if A+ grade has been declared for above 90%, then the number of students who have got A+ grade is :

1. On the basis of given graph in question ,
Number of students who score more than 90% = class – interval 45 – 50 = 10

Correct Option: A

On the basis of given graph in question ,
Number of students who score more than 90% = class – interval 45 – 50 = 10
Therefore , correct answer is option A.

1. The percentage of number of passed students is (31 is the pass marks)

1. From the given above histogram , we can see
Total students ⇒ 135
Successful students ⇒ 20 + 40 + 50 + 10 = 120

 ∴ Required percent = 120 × 100 35

Correct Option: D

From the given above histogram , we can see
Total students ⇒ 135
Successful students ⇒ 20 + 40 + 50 + 10 = 120

 ∴ Required percent = 120 × 100 35

 Required percent = 800 = 88 8 % 9 9

1. The total number of students in the class is :

1. From the given above histogram , we have
Number of students in the class interval 25-30 = 15
Number of students in the class interval 30-35 = 20
Number of students in the class interval 35-40 = 40
Number of students in the class interval 40-45 = 50
Number of students in the class interval 45-50 = 10

Correct Option: D

From the given above histogram , we have
Number of students in the class interval 25-30 = 15
Number of students in the class interval 30-35 = 20
Number of students in the class interval 35-40 = 40
Number of students in the class interval 40-45 = 50
Number of students in the class interval 45-50 = 10
Total students in the class ⇒ 15 + 20 + 40 + 50 + 10 = 135

1. If the pass marks in maths is 31, the number of students who failed in maths is :

1. As per the given question , we can say that If the pass marks in maths is 31, the number of students who failed in maths class-interval 25–30 = 15

Correct Option: B

As per the given question , we can say that If the pass marks in maths is 31, the number of students who failed in maths class-interval 25–30 = 15
Therefore , required answer is 15 .

Direction: Study the following histogram of wage distribution of different number of workers and answer the given questions.

1. The percentage of workers who earn between Rs. 950 to Rs. 960 is

1. On the basis of given graph in question ,
Number of workers who earn between Rs. 950 to Rs.960 = 10
Total number of workers surveyed = 3 + 2 + 4 + 9 + 5 + 10 + 5 + 3 + 3 + 5 = 49

 Required percentage = Number of workers who earn between Rs. 950 to Rs.960 × 100 % Total number of workers surveyed

Correct Option: B

On the basis of given graph in question ,
Number of workers who earn between Rs. 950 to Rs.960 = 10
Total number of workers surveyed = 3 + 2 + 4 + 9 + 5 + 10 + 5 + 3 + 3 + 5 = 49

 Required percentage = Number of workers who earn between Rs. 950 to Rs.960 × 100 % Total number of workers surveyed

 Required percentage = 10 × 100 = 20.4% 49